Eigenfrequencies and expansions for damped wave equations

DOI10.4310/MAA.2003.V10.N4.A4zbMath1088.58510OpenAlexW2013410865MaRDI QIDQ2388286

Michael Hitrik

Publication date: 12 September 2005

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.2003.v10.n4.a4

zbMATH Keywords

Zoll manifoldspropagator expansions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) General topics in linear spectral theory for PDEs (35P05) Hyperbolic equations on manifolds (58J45)

Related Items (12)

Concentration of Laplace eigenfunctions and stabilization of weakly damped wave equation ⋮ Energy decay for the damped wave equation under a pressure condition ⋮ Semiclassical non-concentration near hyperbolic orbits ⋮ Dispersive Estimates for Manifolds with One Trapped Orbit ⋮ Eigenmodes of the damped wave equation and small hyperbolic subsets ⋮ Delocalization of slowly damped eigenmodes on Anosov manifolds ⋮ The damped string problem revisited ⋮ Stabilization of wave equations on the torus with rough dampings ⋮ Improving semigroup bounds with resolvent estimates ⋮ From resolvent estimates to damped waves ⋮ Damped wave equations on compact hyperbolic surfaces ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients

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